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20073917832 = 23317412395021
BaseRepresentation
bin10010101100011111…
…111010110110001000
31220210222121200110020
4102230133322312020
5312102410332312
613115525420440
71310310325533
oct225437726610
956728550406
1020073917832
118571226641
123a8286a720
131b7bab87b7
14d86047a1a
157c74bc78c
hex4ac7fad88

20073917832 has 128 divisors (see below), whose sum is σ = 54671500800. Its totient is φ = 6117171200.

The previous prime is 20073917797. The next prime is 20073917837. The reversal of 20073917832 is 23871937002.

It is not an unprimeable number, because it can be changed into a prime (20073917837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3995482 + ... + 4000502.

It is an arithmetic number, because the mean of its divisors is an integer number (427121100).

Almost surely, 220073917832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20073917832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27335750400).

20073917832 is an abundant number, since it is smaller than the sum of its proper divisors (34597582968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20073917832 is a wasteful number, since it uses less digits than its factorization.

20073917832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 20073917832 in words is "twenty billion, seventy-three million, nine hundred seventeen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 239 246 328 408 478 492 697 717 956 984 1394 1434 1912 2091 2788 2868 4063 4182 5021 5576 5736 8126 8364 9799 10042 12189 15063 16252 16728 19598 20084 24378 29397 30126 32504 39196 40168 48756 58794 60252 78392 85357 97512 117588 120504 166583 170714 205861 235176 256071 333166 341428 411722 499749 512142 617583 666332 682856 823444 999498 1024284 1200019 1235166 1332664 1646888 1998996 2048568 2400038 2470332 3499637 3600057 3997992 4800076 4940664 6999274 7200114 9600152 10498911 13998548 14400228 20400323 20997822 27997096 28800456 40800646 41995644 49200779 61200969 81601292 83991288 98401558 122401938 147602337 163202584 196803116 244803876 295204674 393606232 489607752 590409348 836413243 1180818696 1672826486 2509239729 3345652972 5018479458 6691305944 10036958916 20073917832